The name that seems to be high on the list to replace Hunnam is Irish actor and former Calvin Klein underwear model Jamie Dornan.
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Jamie Dornan
'The Fall' star - who is also Keira Knightley's ex - certainly has the looks for the role but fans are also still pushing for old favourites Matt Bomer and Alexander Skarsgard to land the job.
Theo James and Christian Cooke are also still being considered and Aaron Taylor-Johnson, who is the film's director Sam Taylor-Wood's husband. However, he previously ruled out being cast.
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Aaron Taylor-Johnson and his wife Sam Taylor-Wood
Asked about speculation that he could take on the role of mysterious businessman Christian Grey, Taylor-Johnson told Metro: "I am not Christian Grey.
However, the paper now reports a source has said: "Aaron was one of the original choices but the concern was that Sam would have difficulty directing her own husband and that Aaron would feel uncomfortable.
"This is Sam’s biggest project to date and having no lead secured yet is unsettling."
1. Charlie is a Geordie - he was born in Newcastle-Upon-Tyne on 10 April 1980. (credit:PA)
Charlie Hunnam: 9 Facts In 90 Seconds(02 of07)
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2. He made his television debut in 'Byker Grove' after being discovered mucking about in a shoe shop by one of the show's producers. The hit children's series also starred a young Ant and Dec and James Middleton's current girlfriend, Donna Air. (credit:Getty Images)
Charlie Hunnam: 9 Facts In 90 Seconds(03 of07)
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4. His big screen roles have included 'Cold Mountain' alongside Jude Law, Nicole Kidman and Renée Zellweger and 'Pacific Rim' with Idris Elba. (credit:Getty Images)
Charlie Hunnam: 9 Facts In 90 Seconds(04 of07)
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5. He met his now ex-wife, actress Katharine Towne (that's her in the pic) at an audition for 'Dawson's Creek' in 1998. They were married within weeks but divorced after three years. (credit:Getty Images)
Charlie Hunnam: 9 Facts In 90 Seconds(05 of07)
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6. He's choosy about the roles he takes, saying: "I always think it's better to take a smaller role in a great film rather than a leading role in something that you don't have complete faith in." (credit:Getty Images)
Charlie Hunnam: 9 Facts In 90 Seconds(06 of07)
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7. As well as acting, he is also a talented screenwriter. His screenplay, 'Vlad', about Dracula as a young prince was produced by Brad Pitt's production company.
Charlie Hunnam: 9 Facts In 90 Seconds(07 of07)
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9. If you hadn't already noticed, Charlie likes to keep himself in shape with regular gym sessions, boxing and swimming. "I'm happier, more confident, and more positive when I work out. And I feel like I'm a better actor because of the clarity it gives me," he told Men's Fitness. (credit:Men's Fitness)